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NONINNER AUTOMORPHISMS OF ORDER $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}p$ IN FINITE $p$-GROUPS OF COCLASS 2, WHEN $p>2$

Part of: Representation theory of groups

Published online by Cambridge University Press:  10 June 2014

S. FOULADI  and
R. ORFI
S. FOULADI
Affiliation:
Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Ave., Tehran 1561836314, Iran email s_fouladi@khu.ac.ir
R. ORFI*
Affiliation:
Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Ave., Tehran 1561836314, Iran email r_orfi@tmu.ac.ir
*
✉r_orfi@tmu.ac.ir
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Abstract

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It is shown that if $G$ is a finite $p$-group of coclass 2 with $p>2$, then $G$ has a noninner automorphism of order $p$.

Keywords

automorphisms of p-groupsp-groups of coclass 2noninner automorphismsderivations

MSC classification

Secondary: 20D45: Automorphisms 20D15: Nilpotent groups, $p$-groups
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 90 , Issue 2 , October 2014 , pp. 232 - 236
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

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